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4 years ago

Simplify the expression. 2(x−2)+5x

Mathematics

2 answers:

LenaWriter [7]4 years ago

6 0

Question: 2x - 4 + 5x
Simplified: 7x - 4

Ber [7]4 years ago

5 0

2(x-2)+5 2x-4+5x 2x+5x=7x 7x-4 7x/7 -4/7 x=-0.571428571

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write the equation of the line that passes through the vertex of the parabola y=-2x^2+12x-11 and the point (-2,47)

pshichka [43]

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{-11} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{12}{2(-2)}~~,~~-11-\cfrac{12^2}{4(-2)} \right)\implies \left( 3~~,~~-11+\cfrac{144}{8} \right) \\\\\\ (3~~,~~-11+18)\implies (3~~,~~7) \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{vertex}{(\stackrel{x_1}{3}~,~\stackrel{y_1}{7})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{47}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{47}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{3}}}\implies \cfrac{40}{-5}\implies -8$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{-8}(x-\stackrel{x_1}{3}) \\\\\\ y-7=-8x+24\implies y=-8x+31$

5 0

4 years ago

67°<br> 15<br> h<br> b <br> What is the area

Lunna [17]

Answer:

1005

Step-by-step explanation:

Assuming this is a rectangle, square, or other 4 sided figure, the ft^2 would be 1005

4 0

3 years ago

What is the value of x squared + 2 x y / 2 * W + 3 * z for w=2, x=5, y=8 and z=3

insens350 [35]

Answer: 114

Step-by-step explanation:

Plug in the numbers. 5*5+2*5*8/2*2+3*3=25+80+9=114

4 0

3 years ago

Plzzz help me I’m bad with box and whisker plots

Komok [63]

Hello!

Do you see the line right in the middle of the box? That is the median. It points down to about 15.5

Our answer is D) 15.5.

I hope this helps!

5 0

3 years ago

Need help plz!!!?!?!?!?

Kipish [7]

Answer:

54yd

Step-by-step explanation:

Area for the rectangle=8×6

=48yrd

area for the triangle=1/2×4×3

=6yd

Total area=48+6=54yd

3 0

3 years ago